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Finding the Fourth Proportional to 9,810.88, 14,711.49 and 4,883.29

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Solution

The fourth proportional to 9,810.88, 14,711.49 and 4,883.29 is: 7,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.88 : 14,711.49 = 4,883.29 : x
  2. Step 2: Convert to fraction form
    9,810.88/14,711.49 = 4,883.29/x
  3. Step 3: Cross multiply
    9,810.88x = 14,711.49 × 4,883.29
  4. Step 4: Simplify right side
    9,810.88x = 71,840,435.22
  5. Step 5: Solve for x
    x = 71,840,435.22/9,810.88
  6. Step 6: Final answer
    x = 7,322.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.